کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6861263 | 675380 | 2013 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Corrigendum to “Rational rotation-minimizing frames on polynomial space curves of arbitrary degree” [J. Symbolic Comput. 45 (8) (2010) 844-856]
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Corrigendum to “Rational rotation-minimizing frames on polynomial space curves of arbitrary degree” [J. Symbolic Comput. 45 (8) (2010) 844-856] Corrigendum to “Rational rotation-minimizing frames on polynomial space curves of arbitrary degree” [J. Symbolic Comput. 45 (8) (2010) 844-856]](/preview/png/6861263.png)
چکیده انگلیسی
The existence of rational rotation-minimizing frames on polynomial space curves is characterized by the satisfaction of a certain identity among rational functions. Part 2 of Remark 5.1 in the original paper states an inequality among the degrees of the denominators of these rational functions, but the proof given therein was incomplete. A formal proof of this inequality, which is essential to the complete categorization of rational rotation-minimizing frames on polynomial space curves, appears to be a rather formidable task. Since all known examples and special cases suggest that the inequality is correct, it is restated here as a conjecture rather than a definitive result, and some preliminary steps towards the proof are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 58, November 2013, Pages 99-102
Journal: Journal of Symbolic Computation - Volume 58, November 2013, Pages 99-102
نویسندگان
Rida T. Farouki, Takis Sakkalis,